Finer Characterizations of Pure Bipartite Entanglement

Che-Hsu Li

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arXiv · 1304.5294

Finer Characterizations of Pure Bipartite Entanglement

Che-Hsu Li

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Abstract

A new criterion necessary and sufficient for the separability of pure bipartite systems for arbitrary finite dimensions is demonstrated; and the corresponding finer quantitative measures or characterizations of entanglement (beyond mere separability or non-separability determination) are discussed. Based on this criterion, we proved that the well-known Peres-Horodecki positivity-of-partial-transform criterion is also necessary and sufficient for separability in the case of pure bipartite systems. The maximum value of entanglement, and the corresponding maximally-entangled states are also worked out in detail.

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Che-Hsu Li. 2013-04-19. Finer Characterizations of Pure Bipartite Entanglement. https://arxiv.org/abs/1304.5294

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